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There is a good, and growing, article on the Mandelbrot set on Wikipedia. It also covers Julia sets, plus Mandelbrot/Julia sets from higher order equations, etc.

Part of that article is a gallery of zoom images showing "classic" features of the Mandelbrot set. (scroll down to the section titled "Image gallery of a zoom sequence" to see the images in the Wikipedia article.)

A while back, as an exercise, I decided to try to duplicate some of those images using my application, FractalWorks.

I then decided to go back and create 3D versions of these images. Go to my FractalWorks Wikipedia Mandelbrot images gallery to see my attempts to duplicate the images from the Wiki article. Each 2D image is followed by a 3D variant.

I think the 3D versions do a good job of illustrating the shape and structure of the Mandelbrot set.

Here is a sample of my 3D images:




Regards,

Duncan C